An Evolutions Equation as the WKB Correction in Long-Time Asymptotics of Schrödinger Dynamics

DOI10.1080/03605300701249655zbMath1198.35063arXiv0908.4289OpenAlexW2073790129MaRDI QIDQ5459779

Sergey A. Denisov

Publication date: 29 April 2008

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.4289

zbMATH Keywords

Schrödinger operatorwave operatorslowly decaying potential

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (1)

Spatial asymptotics of Green’s function for elliptic operators and applications: a.c. spectral type, wave operators for wave equation

Cites Work

• Spiraling attractors and quantum dynamics for a class of long-range magnetic fields
• Wave operators for the Schrödinger equation
• The existence of wave operators in scattering theory
• Morrey-Campanato estimates for Helmholtz equations
• Scattering theory: some old and new problems
• On the absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials
• Quantum Scattering for Potentials Independent of |x|: Asymptotic Completeness for High and Low Energies
• Long-range scattering in the position representation
• Wave Propagation through sparse potential barriers
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